Mortgage Amortization Calculator
How much will your monthly mortgage payment be and what goes to principal vs interest?
Calculate your monthly mortgage payment and see the breakdown between principal and interest over the life of your loan. Understand how much of your home you'll own after any number of payments.
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How It Works
The formula, explained simply
Mortgage amortization works like paying off a credit card in reverse — your payment stays the same, but the split between interest and principal shifts dramatically over time. In the early years, you're essentially renting money from the bank. On a $300,000 loan at 6.5%, your first payment includes $1,625 interest and only $271 principal. The bank gets paid first because they're taking the risk on your entire loan balance.
The mathematical formula behind amortization ensures you'll own your home completely by the final payment. Each month, interest is calculated on your remaining balance, not your original loan amount. This creates a snowball effect — as your balance drops, less interest accrues, leaving more of your payment to attack the principal. By year 15 of a 30-year loan, the payment splits roughly 50-50 between interest and principal.
Most borrowers don't realize that small changes in loan terms create massive differences in total cost. Shortening a 30-year loan to 25 years typically saves six figures in interest while adding only $200-300 to monthly payments. The amortization schedule reveals why banks prefer 30-year loans — they collect far more interest revenue over the extended timeline.
When To Use This
Right tool, right situation
Use amortization analysis when comparing loan terms during mortgage shopping. The payment difference between a 25-year and 30-year loan might be only $300 monthly, but the 25-year option typically saves $100,000+ in total interest. Run both scenarios to see if the higher payment fits your budget for the massive long-term savings.
Amortization schedules become essential for refinancing decisions. If you've had your mortgage for 8 years, you're finally making progress on principal reduction. Refinancing back to a 30-year term restarts the amortization clock, meaning you'll pay mostly interest again for years. Calculate whether the rate savings offset restarting the interest-heavy payment structure.
Don't rely on amortization calculations for adjustable-rate mortgages or loans with balloon payments. The standard formula assumes fixed rates and level payments through the entire term. ARM loans recalculate payments annually based on new rates, while balloon loans require refinancing or large lump sum payments before the amortization schedule completes. These loan types need specialized calculators that account for rate changes and payment adjustments.
Common Mistakes
Why results sometimes look wrong
The biggest mistake is focusing only on monthly payment without considering total cost. Buyers often stretch to 30-year terms because the payment fits their budget, not realizing they'll pay 60-80% more in total interest than a 15-year loan. A $300,000 mortgage at 6% costs $216,000 interest over 15 years versus $347,000 over 30 years — that's $131,000 more for payment convenience.
Many borrowers misunderstand how extra principal payments work in amortization. Adding $200 to your monthly payment doesn't mean $200 less interest next month — it means every future payment will have a smaller interest portion because your balance dropped faster. This compounding effect is why extra payments early in the loan term save disproportionately more money than extra payments near the end.
Another critical error is ignoring mortgage insurance and property tax escalation when calculating affordability. Your mortgage payment might be $1,800, but with PMI, property taxes, and homeowners insurance, your total housing cost could reach $2,400 monthly. Amortization calculations show only the loan portion — total housing costs determine whether you can actually afford the payment long-term.
The Math
Worked examples and deeper derivation
The monthly payment formula combines compound interest with present value calculations to ensure the loan balance reaches exactly zero after the specified term. The calculation is M = P × [r(1+r)^n] / [(1+r)^n - 1], where M is monthly payment, P is principal, r is monthly interest rate (annual rate ÷ 12), and n is total number of payments. This formula assumes the interest rate never changes and no extra payments are made.
Each month's interest portion equals your remaining balance multiplied by the monthly interest rate. If you owe $250,000 at 6% annually, that month's interest is $250,000 × 0.005 = $1,250. Your principal payment is simply your total payment minus the interest portion. This creates the amortization effect — as principal decreases, interest portions shrink automatically.
The total interest paid over the loan's life equals (monthly payment × number of payments) minus the original loan amount. On a $300,000, 30-year loan at 6.5%, you'll pay $1,896 monthly for 360 payments, totaling $682,560. Subtract the original $300,000 and you've paid $382,560 in interest — more than the original loan amount. This math explains why even small rate differences matter enormously over 30 years.
Expert Unlock
The thing most explanations skip
Loan officers rarely explain that amortization schedules favor banks heavily in the first decade. Banks collect most of their profit in years 1-10 when interest dominates your payments. This front-loaded interest structure means refinancing or moving within 7-10 years essentially restarts your wealth-building timeline, which is why banks aggressively market refinancing to existing customers.
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